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Simple and Simplest Semiorders in Extremizational Choice with Additive Error

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Abstract

Extremizational choice with an error depending on the set of alternatives presented was studied. The error function was also assumed to be nonnegative and additive. Consideration was given to the case of equivalence between this choice and the pair-dominant one, that is, the choice of the maximum elements by means of a binary relation. Relations of simple and simplest semiorders were introduced. The desired equivalence of the choice models was shown to be feasible if and only if the binary relation in the pair-dominant choice model is a simple semiorder. For these binary relations, the properties of the incomparability relation were studied.

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  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    F. T. Aleskerov

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  1. F. T. Aleskerov
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Aleskerov, F.T. Simple and Simplest Semiorders in Extremizational Choice with Additive Error. Automation and Remote Control 63, 296–303 (2002). https://doi.org/10.1023/A:1014255826646

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